What is the integral from-1 to 1 of (x-x^3) ?

The integral from-1 to 1 of (x-x^3) is 0

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integral from-1 to 1 of (x-x^3)

\int_{- 1}^{1} (x - x^{3}) d x

0

Solution steps

\int_{- 1}^{1} x - x^{3} d x

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

x - x^{3} :

Odd

= 0

\frac{\partial}{\partial x} (t e^{\frac{- x ^{2}}{2 t}})

x \to 0 lim (e^{8 π})

\frac{\partial}{\partial z} (2 x + z^{2})

x \to 0 lim ((x + h)^{2} - 1)

\int ln (2 x - 1) d x

What is the integral from-1 to 1 of (x-x^3) ?
The integral from-1 to 1 of (x-x^3) is 0